download the overview pdf: \u00a0Ludyssey- English<\/a><\/p>\n \u00abConsider the seed of your generation: \u00abAnd turning our stern toward morning, By Cesco Reale (Festival of Mathematical Games<\/a>). In collaboration with MateFitness<\/a> (CNR-PSC) and with CEMEA <\/a>Veneto. WORKSHOP AND EXHIBITION Past events:<\/p>\n –\u00a0Festival dellaScienza 2010, Genova<\/a><\/p>\n –InfinitaMente<\/a>\u00a02011,\u00a0\u00a0<\/a>Univ<\/a>.\u00a0<\/a>Verona<\/a><\/p>\n –\u00a0<\/a>SettimanadellaMatematica 2012, Univ. Brescia<\/a><\/p>\n GAMES<\/p>\n – Ostomachion. Pick’s theorem, which is the area of the following figures? Try to reproduce them with the game pieces. In how many ways can you rebuild the square? Computer animations of the possible square reconstructions and their graph.<\/p>\n – Mancala. The remainder of the division. Which moves allow me to threaten a capture? Walking groups and periodic configurations. Ethno-mathematics: comparison between the analyses of mathematicians and local experts.<\/p>\n – Sig: binary dice and binomial law. Video of Saharawi women playing in the desert.<\/p>\n – Rithmomachia: presentation of Boethius\u2019 Arithmetica. Arithmetics, geometry and music in Pythagorean philosophy. Arithmetic, geometric and harmonic sequences.<\/p>\n – Backgammon: comparison with the Ludus Duodecim scriptorum (ancient Roman game) and the modern versions in Greece; in this situation what is the best move to minimize the probability that the piece will be captured?<\/p>\n MATERIALS. The exhibition consists of 10 panels (A1-size 84 x 60) and 20 wooden games used by the public during the workshops. Necessary space: 50-100 m2.<\/p>\n – Marc Chemillier (Univ. Caen). El\u00e9ments pour une ethnomath\u00e9matique de l’aw\u00e9l\u00e9 (Mathematics and Social Sciences n. 181, 2008) – Federico Peiretti (Progetto Polymath). Stomachion, il puzzle di Archimede. – Laurent Bussard. R\u00e8gles du jeu de Sig de Mauritanie. http:\/\/bussard.pagesperso-orange.fr\/mauritanie\/sig\/ – Peter Mebben. Die Arithmomachia des Abraham Ries und weitere neuzeitliche \u00dcberlieferungen der Rithmomachie (Board Game Studies 1999)
\nyou were not made to live like brutes,
\nbut to play games and make them science! \u00bb<\/p>\n![\"\"](\"http:\/\/www.tuttoenumero.it\/wp-content\/uploads\/2012\/05\/IMGP07791-1024x768.jpg\" "\\"IMGP0779\\"")
<\/a>Isn’t that what Dante’s Ulysses used to say in order to spur his fellow travelers (and players)?
\nIn his wandering back and forth the Mediterranean horizons, Ludysseus was trying to trace the deep roots of the peoples through their games and the mathematics hidden therein. He analysed the game strategies, seeking and studying mathematically the game errors.
\nLudyssey is a journey that takes you from the geometry of the Archimedean Ostomachion (square split into 14 different shapes) to the probability hidden in the variants of Backgammon (Ludus Duodecim Scriptorum for the Romans, Tavli for Greeks and Turks). From the periodic configurations of Mancaley (Syrian game of sowing) to the binomial law of Moroccan Sig, and finally to the arithmetic taught in medieval Italy and France through Rithmomachia, the \u00abBattle of Numbers\u00bb (a kind of chess with sums and products).<\/p>\n
\nwe made wings of oars for our mad flight,
\nstill playing chess and hide-and-seek\u00bb<\/p>\n
\nUnder the patronage of the Swiss Museum of Games<\/a> and with the financial support of Festival della Scienza<\/a>.<\/p>\n
\nThe animators illustrate the different games of Ludyssey and let people play, explaining the historical-cultural context where they are (or were) played and the general rules. Afterwards the public is invited to analyse some game situations that have links to mathematics: they will be asked to find the error in some movements or game configurations, and then to study the mathematical part that allows to correct the error. The activity is thought for schools and festivals, but also for a more demanding public, as it can be adapted to different levels. Moreover Ludyssey is also an exhibition, with panels to read and games to admire.<\/p>\nReferences<\/strong><\/h1>\n
Mancala<\/h3>\n
\n– Alex de Voogt (Univ. Leiden). The archaeology and anthropology of Syrian mancala (Board Game Studies 2010)
\n– Marino Carpignano (Progetto Abstrakta). http:\/\/www.pergioco.net\/Giochi\/GiochiDiTavoliere\/Mancala\/Mancala.htm
\n– http:\/\/www.awale.info
\n– Univ. Lisboa. Matem\u00e1tica em Jogo \u2014 exposi\u00e7\u00e3o virtual. http:\/\/mat.fc.ul.pt\/divulgacao\/mej\/expo_virtual<\/p>\nOstomachion<\/h3>\n
\nhttp:\/\/areeweb.polito.it\/didattica\/polymath\/htmlS\/probegio\/GAMEMATH\/Stomachion\/Stomachion.htm
\n– Stomachion (Visualization of the 268 basic solutions) http:\/\/4umi.com\/play\/stomachion\/
\nFan Chung and Ron Graham (Univ. California San Diego). A tour of Archimedes’ Stomachion (detailed combinatorical analysis of the Stomachion). http:\/\/www.math.ucsd.edu\/~fan\/stomach\/
\n– The Walters Art Museum. The story of the Archimedes\u2019 Palimpsest to 2000 \u2013 DVD. http:\/\/www.youtube.com\/watch?v=_rHv3OiaVC8&feature=related
\n– Kelli Nipper – Picky Nicky and Pick’s Theorem (how to derive the Pick\u2019s formula)
\nhttp:\/\/jwilson.coe.uga.edu\/emt668\/EMT668.Folders.F97\/Nipper\/Pick’sTheorem.html
\n– Heather Bridges \u2013 Pick\u2019s and Euler\u2019s Theorems. http:\/\/jwilson.coe.uga.edu\/emt669\/student.folders\/bailey.heather\/essay%202\/picks.html<\/p>\nSig<\/h3>\n
\n– Tim Hull. Globaltimoto: A Quest for Gameplay. (Rules, photos, videos). http:\/\/globaltimoto.com\/pages\/game_08_Seig.htm
\n– Thierry Depaulis, Jeux de parcours du monde arabo-musulman (Board Game Studies 2001) http:\/\/www.boardgamestudies.info\/pdf\/aux\/BGS4Depaulis1.pdf
\n– Site culturel du Sahara (vid\u00e9os). http:\/\/www.sahara-culture.com\/fr\/Jeuxpopulaires\/Jeuxfeminins\/Sig\/tabid\/106\/Default.aspx<\/p>\nRithmomachia<\/h3>\n
\nhttp:\/\/www.boardgamestudies.info\/pdf\/issue2\/BGS2Mebben.pdf
\n– Jos\u00e9 M. N\u00fa\u00f1ez Espallargas (Univ. Barcelona). La aritm\u00e9tica de Boecio y la ritmomaquia: teor\u00eda y pr\u00e1ctica del juego medieval de los sabios. (Anuario de Estudios Medievales, 2004). http:\/\/estudiosmedievales.revistas.csic.es\/index.php\/estudiosmedievales\/article\/view\/187\/190
\n– Alessandro Fedi (Assoc. Terra di Prato). Rithmomachia ovvero il Ludus Philosophorum (2007). http:\/\/www.alexfedi.it\/medioevo\/risorse\/rithmo.html
\n– Boethius. De Institutione arithmetica (505).
\nhttp:\/\/daten.digitale-sammlungen.de\/~db\/0004\/bsb00047475\/images\/index.html?id=00047475&fip=109.237.48.125&no=8&seite=6
\n– Blog about Rithmomachia (Paesi Bassi, 2004) http:\/\/aritmomachia.blogspot.com\/
\n– J. F. Gilles. Rythmomachie, diverses r\u00e8gles du jeu. http:\/\/www.jf-gilles.eu\/<\/p>\nBackgammon<\/h3>\n